advanced_notions:parity
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advanced_notions:parity [2018/03/28 13:19] jakobadmin |
advanced_notions:parity [2018/03/30 10:08] jakobadmin [Concrete] |
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| <tabbox Intuitive> | <tabbox Intuitive> | ||
| - | <note tip> | + | Acting with a parity transformation on a system simply means that we create a mirrored copy of it. Another name for a parity transformation is spatial inversions. |
| - | Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. | + | |
| - | </note> | + | So parity symmetry means mirror symmetry. |
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| <tabbox Concrete> | <tabbox Concrete> | ||
| - | <note tip> | + | Explicitly, the parity operator acting on four-vectors is given by |
| - | In this section things should be explained by analogy and with pictures and, if necessary, some formulas. | + | |
| - | </note> | + | \begin{equation} \label{eq:pardef3d} \Lambda_P = \begin{pmatrix} |
| - | + | 1& 0 & 0 & 0 \\ 0&-1 & 0 & 0\\ 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & -1 | |
| + | \end{pmatrix} \end{equation} | ||
| + | |||
| + | This matrix flips all spatial coordinates and keeps the time coordinate unchanged. | ||
| <tabbox Abstract> | <tabbox Abstract> | ||
advanced_notions/parity.txt · Last modified: 2018/03/30 13:19 by jakobadmin
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